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39048282 = 23271331769
BaseRepresentation
bin1001010011110…
…1010001011010
32201110212011200
42110331101122
534444021112
63512535030
7652622250
oct224752132
981425150
1039048282
1120050609
12110b1476
1381225c0
1452865d0
153664cdc
hex253d45a

39048282 has 96 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 9953280.

The previous prime is 39048271. The next prime is 39048299. The reversal of 39048282 is 28284093.

39048282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50394 + ... + 51162.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 239048282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39048282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

39048282 is an abundant number, since it is smaller than the sum of its proper divisors (68579238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39048282 is a wasteful number, since it uses less digits than its factorization.

39048282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 39048282 is about 6248.8624564796. The cubic root of 39048282 is about 339.2610305831.

The spelling of 39048282 in words is "thirty-nine million, forty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 769 806 819 1209 1302 1538 1638 1953 2307 2418 2821 3627 3906 4614 5383 5642 6921 7254 8463 9997 10766 13842 16149 16926 19994 23839 25389 29991 32298 47678 48447 50778 59982 69979 71517 89973 96894 139958 143034 166873 179946 209937 214551 309907 333746 419874 429102 500619 619814 629811 929721 1001238 1259622 1501857 1859442 2169349 2789163 3003714 4338698 5578326 6508047 13016094 19524141 39048282